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      Bayesian t tests for accepting and rejecting the null hypothesis

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      Psychonomic Bulletin & Review
      Springer Science and Business Media LLC

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          Abstract

          Progress in science often comes from discovering invariances in relationships among variables; these invariances often correspond to null hypotheses. As is commonly known, it is not possible to state evidence for the null hypothesis in conventional significance testing. Here we highlight a Bayes factor alternative to the conventional t test that will allow researchers to express preference for either the null hypothesis or the alternative. The Bayes factor has a natural and straightforward interpretation, is based on reasonable assumptions, and has better properties than other methods of inference that have been advocated in the psychological literature. To facilitate use of the Bayes factor, we provide an easy-to-use, Web-based program that performs the necessary calculations.

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          Most cited references14

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          Beyond significance testing: Reforming data analysis methods in behavioral research.

          Rex Kline (2004)
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            Bayesian Versus Frequentist Inference

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              Exploratory Data Analysis

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                Author and article information

                Journal
                Psychonomic Bulletin & Review
                Psychonomic Bulletin & Review
                Springer Science and Business Media LLC
                1069-9384
                1531-5320
                April 2009
                April 2009
                : 16
                : 2
                : 225-237
                Article
                10.3758/PBR.16.2.225
                19293088
                c3d36317-5b94-46a5-9ce0-a739c99d2e05
                © 2009

                http://www.springer.com/tdm

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